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Re: st: Polynomial OLS - Interpreting results

From   Richard Williams <>
To   "" <>, "" <>
Subject   Re: st: Polynomial OLS - Interpreting results
Date   Tue, 30 Dec 2008 12:40:05 -0500

At 12:12 PM 12/30/2008, Claude Francoeur wrote:

First, I would like to thank Maarten Buis and Ángel Rodríguez Laso for
their advice (see Polynomial OLS - Dec 25th).

Doing a polynomial OLS and after centering the original variable, we get
the following results :

Coefficient of X1 (the centered variable) is negative and significant;
coeff. of X1 squared is negative and not sig. and coeff. of X1 cubed is
positive and significant.

What would be the graphic representation of such a relation? Is there
only one inflexion point here (between X1 squared and X1 cubed)?

This handout might be helpful:

Richard Williams, Notre Dame Dept of Sociology
OFFICE: (574)631-6668, (574)631-6463
HOME:   (574)289-5227
EMAIL:  Richard.A.Williams.5@ND.Edu

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